100031110201 has 48 divisors (see below), whose sum is σ = 117216804672. Its totient is φ = 84638131200.

The previous prime is 100031110189. The next prime is 100031110219. The reversal of 100031110201 is 102011130001.

It is not a de Polignac number, because 100031110201 - 2¹⁷ = 100030979129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100031110001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132141115 + ... + 132141871.

It is an arithmetic number, because the mean of its divisors is an integer number (2442016764).

Almost surely, 2^100031110201 is an apocalyptic number.

100031110201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100031110201 is a deficient number, since it is larger than the sum of its proper divisors (17185694471).

100031110201 is a wasteful number, since it uses less digits than its factorization.

100031110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100031110201 its reverse (102011130001), we get a palindrome (202042240202).

The spelling of 100031110201 in words is "one hundred billion, thirty-one million, one hundred ten thousand, two hundred one".